Exponential attractors of reaction-diffusion systems in an unbounded domain
- Cite this article as:
- Babin, A. & Nicolaenko, B. J Dyn Diff Equat (1995) 7: 567. doi:10.1007/BF02218725
We consider reaction-diffusion systems in unbounded domains, prove the existence of expotential attractors for such systems, and estimate their fractal dimension. The essential difference with the case of a bounded domain studied before is the continuity of the spectrum of the linear part of the equations. This difficulty is overcome by systematic use of weighted Sobolev spaces.
Key wordsExponential attractors fractal dimension reaction-diffusion systems
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